2428142175000 has 288 divisors, whose sum is σ = 8318843966160. Its totient is φ = 639698400000.

The previous prime is 2428142174947. The next prime is 2428142175013. The reversal of 2428142175000 is 5712418242.

2428142175000 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 142 + 1 + 7 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18609990 + ... + 18740010.

Almost surely, 2^{2428142175000} is an apocalyptic number.

2428142175000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428142175000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159421983080).

2428142175000 is an abundant number, since it is smaller than the sum of its proper divisors (5890701791160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2428142175000 is a wasteful number, since it uses less digits than its factorization.

2428142175000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130141 (or 130114 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 2428142175000 in words is "two trillion, four hundred twenty-eight billion, one hundred forty-two million, one hundred seventy-five thousand".